Liang zi li xue zhong de ji he xiang wei

Yuen Kwun Wan.Thesis (M.Phil.)--Chinese University of Hong Kong, 2001.Includes bibliographical references (leaves [91]-93).Text in English; abstracts in English and Chinese.Yuen Kwun Wan.Abstract --- p.iAcknowledgements --- p.iiContents --- p.iiiList of Figures --- p.viList of Tables --- p.ixChapter Chapter 1. --- Introduction --- p.1Chapter Chapter 2. --- Formalism of Geometrical Phase --- p.4Chapter 2.1 --- Adiabatic cyclic evolution in the parameter space --- p.4Chapter 2.2 --- Cyclic evolution of a quantum state on the projective Hilbert space --- p.8Chapter 2.3 --- General setting for Berry's phase --- p.11Chapter Chapter 3. --- Geometric Phases in Physical Systemms --- p.16Chapter 3.1 --- The Aharonov-Bohm Effect --- p.16Chapter 3.2 --- An Electron a in Magnetic Field --- p.20Chapter 3.2.1 --- The Geometrical Phase in The Adiabatic Limit --- p.22Chapter 3.2.2 --- The Geometrical Phases for Other Special Cases --- p.25Chapter 3.2.2.1 --- Cyclic Evolution --- p.26Chapter 3.2.2.2 --- The Pancharatnam Phase Difference Between ̐ưجψ(t)〉〉〉 and ̐ưجψ(t-pr)〉 --- p.27Chapter Chapter 4. --- Review on The Dynamical Cavity Problems --- p.34Chapter 4.1 --- Scalar Electrodynamics in a 1-D Cavity with Moving Boundaries --- p.34Chapter 4.1.1 --- The Method of Moore's R Function --- p.36Chapter 4.1.2 --- Method of Transformation --- p.37Chapter 4.2 --- Scalar Electrodynamics in a 1-D Cavity with Oscillating Boundaries --- p.38Chapter 4.3 --- Scalar Electrodynamics in a Spherical Cavity with Moving Boundary --- p.39Chapter Chapter 5. --- The quantum mechanical phase of a particle in vibrating cavity --- p.41Chapter 5.1 --- SU(2) method --- p.48Chapter 5.1.1 --- Formalism --- p.48Chapter 5.1.2 --- Calculation --- p.51Chapter 5.2 --- Rotating Wave Approximation(RWA) --- p.52Chapter 5.2.1 --- Formalism --- p.52Chapter 5.2.2 --- Behaviors of the system --- p.54Chapter 5.2.3 --- Energy --- p.56Chapter 5.2.4 --- Geometrical Phases of The System at Resonances --- p.58Chapter 5.3 --- Results --- p.63Chapter 5.3.1 --- For a Cylindrical Cavity --- p.63Chapter 5.4 --- For a Spherical Cavity --- p.70Chapter 5.5 --- Conclusion and Discussion --- p.74Chapter Chapter 6. --- Summary --- p.76Chapter Appendix A. --- Energy Eigenfunctions and Eigenvalues of a Statics Cavity --- p.79Chapter A.1 --- For the Case of Cylindrical Cavity --- p.79Chapter A.1.1 --- The Energy Eigenfunctions and Corresponding Eigenvalues --- p.81Chapter A.2 --- For the Case of Spherical Cavity --- p.81Chapter A.2.1 --- The Radial Equation --- p.82Chapter A.2.2 --- The Angular Equation --- p.83Chapter A.2.3 --- The Energy Eigenfunctions and Corresponding Eigenvalues --- p.84Chapter Appendix B. --- The Schrodinger Equation for The Transformed System --- p.85Chapter B.1 --- The Schrodinger Equation --- p.85Chapter B.2 --- Radial Part of The Schrodinger Equation --- p.86Chapter B.2.1 --- For The Case of Cylindrical Cavity --- p.86Chapter B.2.2 --- For The Case of Spherical Cavity --- p.87Chapter Appendix C. --- Method of Rotating Wave Approximation --- p.88Bibliography --- p.9